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Finding the Fourth Proportional to 142,329.48, 213,329.85 and 53,526.30

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Solution

The fourth proportional to 142,329.48, 213,329.85 and 53,526.30 is: 80,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,329.48 : 213,329.85 = 53,526.30 : x
  2. Step 2: Convert to fraction form
    142,329.48/213,329.85 = 53,526.30/x
  3. Step 3: Cross multiply
    142,329.48x = 213,329.85 × 53,526.30
  4. Step 4: Simplify right side
    142,329.48x = 11,418,757,550.06
  5. Step 5: Solve for x
    x = 11,418,757,550.06/142,329.48
  6. Step 6: Final answer
    x = 80,227.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.